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460431112223101 is a prime number
BaseRepresentation
bin110100010110000100111100…
…0111000110011100101111101
32020101020210011212100200202011
41220230021320320303211331
5440322200404212114401
64311131044412331221
7165661023120332635
oct15054117070634575
92211223155320664
10460431112223101
11123786813487878
1243782773a73b11
13169bb61036ca36
14819adb018d6c5
153836d0aba1451
hex1a2c278e3397d

460431112223101 has 2 divisors, whose sum is σ = 460431112223102. Its totient is φ = 460431112223100.

The previous prime is 460431112223053. The next prime is 460431112223161. The reversal of 460431112223101 is 101322211134064.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 373201583117476 + 87229529105625 = 19318426^2 + 9339675^2 .

It is a cyclic number.

It is not a de Polignac number, because 460431112223101 - 27 = 460431112222973 is a prime.

It is a super-3 number, since 3×4604311122231013 (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (460431112223161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 230215556111550 + 230215556111551.

It is an arithmetic number, because the mean of its divisors is an integer number (230215556111551).

Almost surely, 2460431112223101 is an apocalyptic number.

It is an amenable number.

460431112223101 is a deficient number, since it is larger than the sum of its proper divisors (1).

460431112223101 is an equidigital number, since it uses as much as digits as its factorization.

460431112223101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6912, while the sum is 31.

Adding to 460431112223101 its reverse (101322211134064), we get a palindrome (561753323357165).

The spelling of 460431112223101 in words is "four hundred sixty trillion, four hundred thirty-one billion, one hundred twelve million, two hundred twenty-three thousand, one hundred one".